Number Theory Seminar

Ram Murty, Queen’s University

“The theory of Ramanujan expansions”

In 1918, Ramanujan introduced an expansion of an arithmetic function in terms of certain expo- nential sums called Ramanujan sums. These expansions are somewhat similar to Fourier expansions of smooth functions. I will discuss this emerging theory and indicate how one could potentially use it to solve the twin prime conjecture.

MC 5501

**Please Note Special Time**